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Finding the Third Proportional to 83,316 and 176,292

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Solution

The third proportional to 83,316 and 176,292 is: 373,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,316 : 176,292 = 176,292 : x
  2. Step 2: Convert to fraction form
    83,316/176,292 = 176,292/x
  3. Step 3: Cross multiply
    83,316x = 176,292 × 176,292
  4. Step 4: Simplify right side
    83,316x = 31,078,869,264
  5. Step 5: Solve for x
    x = 31,078,869,264/83,316
  6. Step 6: Final answer
    x = 373,024.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.